The prevailing theory was that neutrinos were massless, but experiments carried out separately by teams led by Kajita in Japan and McDonald in Canada showed that this was not the case.

Many neutrinos blasted out from the Sun — a type called electron neutrinos — “oscillated” en route to become cousin particles called muon-neutrinos and tau-neutrinos, they found.

Under the quirky rules of quantum physics, the identity change can only happen if the neutrinos have mass.

“This is of groundbreaking importance for particle physics and for our understanding of the Universe,” the Nobel committee said.

“The experiments have… revealed the first apparent crack in the Standard Model. It has become obvious that the Standard Model cannot be the complete theory of how the fundamental constituents of the Universe function.”

Intense activity is underway worldwide in order to understand more about the elusive particles.

“New discoveries about their deepest secrets are expected to change our current understanding of the history, structure and future fate of the Universe,” the jury said.

Kajita and McDonald will share the eight million Swedish kronor (around $950,000 or 855,000 euros) prize.

Last year, the prize went to three Japanese-born researchers — Isamu Akasaki, Hiroshi Amano and Shuji Nakamura — for pioneering energy-efficient LED lighting, a weapon against global warming and poverty.

On Monday, Tu Youyou of China, Irish-born American William Campbell, and Japan’s Satoshi Omura won the Nobel Medicine Prize for unlocking revolutionary treatments for malaria and roundworm, diseases that blight millions of lives.

The Nobel awards week continues on Wednesday with the announcement of the winners of the Nobel Chemistry Prize.

The winner of the literature prize will be revealed on Thursday, while the peace prize will be announced in Oslo on Friday.

The economics prize will wrap up this year’s Nobel season on Monday, October 12.

The laureates will receive their prizes at formal ceremonies in Stockholm on December 10, the anniversary of the 1896 death of prize creator Alfred Nobel, a Swedish philanthropist and scientist.